1011211313013 has 12 divisors (see below), whose sum is σ = 1593423887328. Its totient is φ = 612855341160.

The previous prime is 1011211312967. The next prime is 1011211313059. The reversal of 1011211313013 is 3103131121101.

It is an interprime number because it is at equal distance from previous prime (1011211312967) and next prime (1011211313059).

It is not a de Polignac number, because 1011211313013 - 2¹⁷ = 1011211181941 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011221313013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5107127745 + ... + 5107127942.

It is an arithmetic number, because the mean of its divisors is an integer number (132785323944).

Almost surely, 2^{1011211313013} is an apocalyptic number.

It is an amenable number.

1011211313013 is a deficient number, since it is larger than the sum of its proper divisors (582212574315).

1011211313013 is a wasteful number, since it uses less digits than its factorization.

1011211313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10214255704 (or 10214255701 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1011211313013 its reverse (3103131121101), we get a palindrome (4114342434114).

The spelling of 1011211313013 in words is "one trillion, eleven billion, two hundred eleven million, three hundred thirteen thousand, thirteen".